6782928768 has 512 divisors, whose sum is σ = 25380864000. Its totient is φ = 1732147200.

The previous prime is 6782928721. The next prime is 6782928791. The reversal of 6782928768 is 8678292876.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18893773 + ... + 18894131.

It is an arithmetic number, because the mean of its divisors is an integer number (49572000).

Almost surely, 2^6782928768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6782928768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12690432000).

6782928768 is an abundant number, since it is smaller than the sum of its proper divisors (18597935232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6782928768 is a wasteful number, since it uses less digits than its factorization.

6782928768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 453 counting only the distinct ones).

The product of its digits is 32514048, while the sum is 63.

The square root of 6782928768 is about 82358.5379180568. The cubic root of 6782928768 is about 1892.9497501486.

The spelling of 6782928768 in words is "six billion, seven hundred eighty-two million, nine hundred twenty-eight thousand, seven hundred sixty-eight".